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Secondly, a finite element method is used to approximate the constrained minimization problem, both existence of minimizer for cost functional in finite demensional space and the convergence of minimizer are proven.

然后利用有限元方法对上述定解问题进行离散，并证明了有限维空间上泛函的极小元存在以及有限维空间上的极小元收敛到无限维空间上的极小元。

For a finite-security and finite- state financial market with three forms of friction: ask-bid spread, transaction costs and tax, by using the theory of convex analysis and some optimization techniques, a series of necessary and sufficient conditions are established to characterize weak and strong no-arbitrage respectively.

对存在买进卖出价差、交易费和税收三种摩擦和有限个可能的自然状态的金融市场，利用凸分析理论和最优化技术刻划出了强无套利和弱无套利的一系列充要条件，以往许多这方面的结果均是我们的特例。

Through examining and analyzing of the crack in corbel of bridge of Dangtu road in Hefei, a strengthening scheme to paste the steel plate is put forward. The theory of non-linear finite is adopted to analyze the scheme with three dimensional finite element. The result of stress at the crack point which has been reinforced is also made clear.

通过对合肥市当涂路桥牛腿裂缝诊断分析，提出外贴钢片的加固方案，并基于非线性有限元法基本理论，对加固方案进行三维数值分析，给出了片材加固后的牛腿裂纹尖端应力的效果分析。

By means of field test for the pile of 15 meters length and MARC finite element analysis, this paper studies the bearing mechanism of the reinforced mixing pile, analyzes the law of load transfer and the percentage about cement-soil ring and reinforced concrete core under vertical load, analyzes the change law and interactive behavior about the pile's surface bearing and end bearing. In the end an experiential equation that can be used in Tianjin area to estimate the bearing capacity of single pile is proposed on the basis of test researches and finite element analysis.

分析了劲性搅拌桩在竖向荷载作用下的荷载传递规律及芯桩与水泥土的荷载分担比；分析了劲性搅拌桩在竖向荷载作用下桩侧摩阻力和桩端阻力随桩顶荷载的变化规律；分析了劲性搅拌桩在竖向荷载作用下桩端阻力及桩侧阻力的发挥性状与桩土位移间的关系及端阻力与侧阻力的荷载分担比。

According to the Carters theory and elastic-plastic finite element method, a finite element model of plastic flow corrugation is established by ANSYS.

列车在实际运行过程当中，受到各种周期和随机的激励作用，导致轮轨力的波动。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分，利用S-T恒等式给出了单圈定域有效作用量，定义了场的重正化常数，发现物质场和规范场都存在有限的规范不变的量子修正，并讨论了这些有限的规范不变的量子修正的物理意义，进而通过考察单圈三规范场顶角，表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下，选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正，结果表明，标志紫外发散的极点项恰好抵消；进一步利用背景场方法中明显的规范对称性，证明背景场三点函数的两圈图贡献也是有限的。

On the other hand, Let M~n be an z-dimensional complete noncompactoriented submanifold with finite total curvature in an-dimensional simplyconnected space form F~ of constant curvature c. In this thesis, we provethat if M satisfies one of the following: n≥3, c=0 and integral from n=M H~n＜∞;n≥5, c=-1 and H＜1-2/n~(1/2); n≥3, c=1 and H is bounded, where Hdenotes the mean curvature of M. then the dimension of the space of L~2 harmonic1-forms on M is finite.

本文还证明：若具常曲率c的完备单连通空间型F~中具有有限全曲率的n维完备非紧可定向子流形M满足下面条件之一：n≥3，c=0且integral from n=M H~n＜∞；n≥5，c=-1且H＜1-2/n~(1/2；n≥3，c=1且H有界的，则M上L~2调和1-形式空间的维数是有限的，这里H为M的平均曲率。

Finally, by means of electrometric method, the stress of the exterior surface of the feed inlet was measured. The curvilinear figure of the stress distribution of the exterior surface was drawed and compared with the results of the finite element analysis. The rationality of theory analysis and the reliability of finite element analysis were verified.

最后，采用电测法对进料口的外表面应力进行了实验测量，绘出进料口外表面应力分布曲线并与有限元分析结果对比，验证了理论分析的合理性和有限元分析的可靠性。

The model was merged.Result:An ideal three-dimensional finite element model of the PFM crown for the upper cuspid was constructed.Conclusion:The constructed 3-DFE model was quick and accurate and could be applied as a new method in the dental research. cuspid ; finite element ; porcelain fused to metal

材料和方法1实验器材与软件环境：OPTIPLEX GX260商用台式机(处理器Intel Pentium IV2.0G，内存容量1GB，硬盘80G，操作系统Windows2000)；三维照相测量仪(3DSS)(上海数造机电科技有限公司)；Geomagic studio8(raindrop公司，美国)；Imageware12Unigraphics NX4.0；Algo

This paper discusses the relation beween order classification and isomorphic classification , gives some important characteristic properties of a cyclic group with order n and a important property of a p-group with finite order, introduces two factorization method of direct product for commutative p-group with finite order, presents some new problems.

讨论了阶分类与同构分类的关系，给出了n阶循环群的几个重要的特征性质和有限p-群的一个重要性质，介绍了有限交换p-群直积分解的两种方法，提出了一些新的问题。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。